It is currently 23 Nov 2017, 10:12

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A certain company sells jellybeans in the following six flavors only

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Intern
Intern
avatar
B
Joined: 30 Mar 2017
Posts: 2

Kudos [?]: 4 [1], given: 13

Location: India
Concentration: Finance, General Management
A certain company sells jellybeans in the following six flavors only [#permalink]

Show Tags

New post 16 Sep 2017, 11:01
1
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

61% (01:38) correct 39% (03:00) wrong based on 38 sessions

HideShow timer Statistics

A certain company sells jellybeans in the following six flavors only: b, c, g, l, p, s. If the jellybeans are sorted randomly into boxes containing exactly 2, 3, 4 different flavors only, what is the probability that any given box contain g jellybeans?

A 1/6
B 1/3
C 2/5
D 1/2
E 3/4

Can anyone please explain the answer?
[Reveal] Spoiler: OA

Kudos [?]: 4 [1], given: 13

Manager
Manager
User avatar
S
Joined: 27 Dec 2016
Posts: 177

Kudos [?]: 47 [0], given: 206

Concentration: Social Entrepreneurship, Nonprofit
GPA: 3.65
WE: Sales (Consumer Products)
Premium Member CAT Tests
Re: A certain company sells jellybeans in the following six flavors only [#permalink]

Show Tags

New post 16 Sep 2017, 11:47
vinay888 wrote:
A certain company sells jellybeans in the following six flavors only: b, c, g, l, p, s. If the jellybeans are sorted randomly into boxes containing exactly 2, 3, 4 different flavors only, what is the probability that any given box contain g jellybeans?

A 1/6
B 1/3
C 2/5
D 1/2
E 3/4

Can anyone please explain the answer?


First, I think it is easier to calculate the denominator first.
- Total outcomes in box with 2 different flavor : 6C2 = 15
- Total outcomes in box with 3 different flavor : 6C3 = 20
- Total outcomes in box with 4 different flavor : 6C4 = 15
- Total all possible outcomes = 50.

Now, we can find the numerator.
- We can calculate probability of AT LEAST G in each boxes with : 1 - probability NO G in each boxes.
- Total outcomes WITHOUT G in box with 2 different flavor : 5C2 = 10
- Total outcomes WITHOUT G in box with 3 different flavor : 5C3 = 10
- Total outcomes WITHOUT G in box with 4 different flavor : 5C4 = 5
- Total outcomes WITHOUT G = 25, so total outcome AT LEAST G in each boxes = 50-25 = 25.

Probability = \(\frac{25}{50}\) or \(\frac{1}{2}\).

Wdyt?
_________________

There's an app for that - Steve Jobs.

Kudos [?]: 47 [0], given: 206

Re: A certain company sells jellybeans in the following six flavors only   [#permalink] 16 Sep 2017, 11:47
Display posts from previous: Sort by

A certain company sells jellybeans in the following six flavors only

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.